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2. A bell is struck and the volume, which was recorded at 90 decibels,decreases at a constant rate of 9.8% per second until 8 seconds latera. Find the a and b for an exponential modelb. Write a completely defined model for the volume of the bell when itwas struck till 8 seconds later.c. What was the volume after 7 seconds?

Question
2. A bell is struck and the volume, which was recorded at 90 decibels,
decreases at a constant rate of 9.8% per second until 8 seconds later
a. Find the a and b for an exponential model
b. Write a completely defined model for the volume of the bell when it
was struck till 8 seconds later.
c. What was the volume after 7 seconds?
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2. A bell is struck and the volume, which was recorded at 90 decibels, decreases at a constant rate of 9.8% per second until 8 seconds later a. Find the a and b for an exponential model b. Write a completely defined model for the volume of the bell when it was struck till 8 seconds later. c. What was the volume after 7 seconds?

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Step 1

a= initial sound= 90 decibels

It decreases 9.8% per second. 9.8%=0.098

Sp after 1 second sound is (1-0.098)=0.902 times of the previous bell.

b= 0.902

Answer(a): a=90 and b=0.902

Step 2

when it strucks till 8 seconds then 0 <= t <=8.

An...

f (t)-90(0.902'), 0<t<8
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f (t)-90(0.902'), 0<t<8

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Math

Calculus

Functions

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